A new matrix Lie algebra, the multicomponent Yang hierarchy and its super-integrable coupling system

作者：Yu Fajun^*; Li Li

来源：Applied Mathematics and Computation, 2009, 207(2): 380-387.

DOI：10.1016/j.amc.2008.10.050

• Matrix Lie algebra
• Multi-component
• Yang hierarchy
• Super-integrable coupling

A set of new matrix Lie algebra is constructed, which is devoted to obtaining a new loop algebra (A) over tilde (2M). It follows that an isospectral problem is established. By use of Tu scheme, a Liouville integrable multi-component hierarchy of soliton equations is generated, which possesses the multi-component Hamiltonian structures. As its reduction cases, the multi-component Yang hierarchy is given. Finally, the multi-component super-integrable coupling system of Yang hierarchy is presented by enlarging matrix spectral problem.

• 出版日期2009-1-15
• 单位沈阳师范大学